Partial Differential Equations of Mathematical Physics

The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.

Author: S. L. Sobolev

Publisher: Elsevier

ISBN: 9781483181363

Category: Mathematics

Page: 440

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Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems. Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.
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Partial Differential Equations of Mathematical Physics and Integral Equations

Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems.

Author: Ronald B. Guenther

Publisher: Courier Corporation

ISBN: 9780486137629

Category: Mathematics

Page: 576

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Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.
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Differential Equations Asymptotic Analysis and Mathematical Physics

This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996.

Author: Michael Demuth

Publisher: John Wiley & Sons

ISBN: 3055017692

Category: Asymptotic expansions

Page: 424

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This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996. The conference has taken place every year on a high scientific level since 1991; this event is connected with the activities of the Max Planck Research Group for Partial Differential Equations at Potsdam. Outstanding researchers and specialists from Armenia, Belarus, Belgium, Bulgaria, Canada, China, France, Germany, Great Britain, India, Israel, Italy, Japan, Poland, Romania, Russia, Spain, Sweden, Switzerland, Ukraine, and the USA contribute to this volume. The main topics concern recent progress in partial differential equations, microlocal analysis, pseudo-differential operators on manifolds with singularities, aspects in differential geometry and index theory, operator theory and operator algebras, stochastic spectral analysis, semigroups, Dirichlet forms, Schrodinger operators, semiclassical analysis, and scattering theory.
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Differential Geometry Differential Equations and Mathematical Physics

This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic ...

Author: Maria Ulan

Publisher: Springer Nature

ISBN: 9783030632533

Category: Mathematics

Page: 231

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This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include: Parabolic geometry Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.
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Advances in Differential Equations and Mathematical Physics

This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants.

Author: Yulia E. Karpeshina

Publisher: American Mathematical Soc.

ISBN: 9780821832967

Category: Science

Page: 387

View: 327

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This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics.Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudo differential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and non equilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.
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Trends in Partial Differential Equations of Mathematical Physics

This book consists of contributions originating from a conference in Obedo, Portugal, which honoured the 70th birthday of V.A. Solonnikov.

Author: José F. Rodrigues

Publisher: Springer Science & Business Media

ISBN: 9783764373177

Category: Mathematics

Page: 282

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This book consists of contributions originating from a conference in Obedo, Portugal, which honoured the 70th birthday of V.A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.
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Advances in Differential Equations and Mathematical Physics

The text offers a combination of certain emerging topics and important research advances in the area of differential equations.

Author: Conferenc International

Publisher: American Mathematical Soc.

ISBN: 9780821808610

Category: Mathematics

Page: 221

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This volume consists of selected contributions from the ``Georgia Institute of Technology-UAB International Conference on Differential Equations and Mathematical Physics''. The book offers a combination of certain emerging topics and important research advances in this active area. The topics range widely and include magnetic Schrodinger operators, the Boltzmann equations, nonlinear variational problems, and noncommutative probability theory. Some articles were included for their aesthetic value and others to present an overview. All articles were reviewed for scientific content and readability. The text is suitable for graduate and advanced graduate courses and seminars on the topic.
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Recent Advances in Differential Equations and Mathematical Physics

The book treats free probability theory, which has been extensively developed since the early 1980s. The emphasis is put on entropy and the random matrix model approach.

Author: International Conference on Differential Equations and Mathematical Physics (10th 2005

Publisher: American Mathematical Soc.

ISBN: 9780821838402

Category: Mathematics

Page: 333

View: 885

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This book brings together both new material and recent surveys on some topics in differential equations that are either directly relevant to, or closely associated with, mathematical physics. Its topics include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbations of the free Hamiltonian on the circle, $J$-selfadjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. Excellent survey articles on Dirichlet-Neumann inverse problems on manifolds (by Uhlmann), numerical investigations associated with Laplacian eigenvalues on planar regions (by Trefethen), Snell's law and propagation of singularities in the wave equation (by Vasy), and random operators on tree graphs (by Aizenmann) make this book interesting and valuable for graduate students, young mathematicians, and physicists alike.
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Partial Differential Equations and Mathematical Physics

The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray.

Author: Kunihiko Kajitani

Publisher: Springer Science & Business Media

ISBN: 0817643095

Category: Mathematics

Page: 243

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A wide range of topics in partial differential equations, complex analysis, and mathematical physics are presented to commemorate the memory of the great French mathematician Jean Leray. The 17 research articles are written by some of the world's leading mathematicians who explore important current subjects. Most articles contain complete proofs and excellent bibliographies. For graduate students and mathematical physicists as well as mathematicians in analysis and PDEs.
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Methods of Mathematical Physics

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field.

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 9783527617241

Category: Science

Page: 852

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Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.
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